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Alborosie
2 years ago
7

Alexia designed a logo 2 inches wide and 1.5 inches tall to be used on her school's notebooks. The school wants the logo on the

notebook to be 8 inches wide. How tall, in inches, will it be if it is enlarged proportionately
Mathematics
1 answer:
Xelga [282]2 years ago
5 0

If the original logo is 2 inches wide and the logo has to be 8 inches wide, then the new logo will be 4 times larger. Therefore, we have to multiply 1.5 by 4 to get our new height.

1.5 x 4 = 6 inches tall.

Hope this helped!

You might be interested in
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.75

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
Is 1/2 equivalent to 2/4
mina [271]
Yes it is because 1/4 + 1/4 =2/4 and 2/4 equals 1/2
5 0
3 years ago
Read 2 more answers
What is the solution of StartRoot x + 12 EndRoot = x?
Ber [7]

Answer:

x = 4      or x = -3

Step-by-step explanation:

\sqrt{x+12}=x

Take square both the sides,

(\sqrt{x+12})^{2}=x^{2}\\\\x+12=x^{2}

x² - x - 12 = 0

x² - 4x + 3x - 3*4 =0

x*(x - 4) + 3*(x - 4)= 0

(x- 4 )(x+3) =0

x -4 =0   or x + 3 = 0

x = 4      or x = -3

4 0
3 years ago
Read 2 more answers
Help I need this done by today
Pani-rosa [81]

Answer:

the total gradius is equal to 90 0n this angle the answer is 28

Step-by-step explanation:

90-52=28 plz the brainliest!

4 0
3 years ago
Read 2 more answers
Dory bought 2 computers on sale for $210.99 each. He sold them to his friend for $240.00 each. What was his profit?
Ksju [112]

Answer:

58.02

Step-by-step explanation

210.99 x 2 = 421.98

240 x 2 = 480

480 - 421.98 = 58.02

6 0
3 years ago
Read 2 more answers
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